All gaugings and stable de Sitter in D=7 half-maximal supergravity

TL;DR

This paper classifies all possible gaugings in seven-dimensional half-maximal supergravity and discovers the first stable de Sitter solutions within highly supersymmetric theories.

Contribution

It provides a comprehensive classification of duality orbits and systematically analyzes critical points, revealing new stable de Sitter solutions.

Findings

First classification of all duality orbits in D=7 supergravity

Systematic analysis of critical points

Discovery of stable de Sitter solutions with high supersymmetry

Abstract

We study the general formulation of gauged supergravity in seven dimensions with sixteen supercharges keeping duality covariance by means of the embedding tensor formalism. We first classify all inequivalent duality orbits of consistent deformations. Secondly, we analyse the complete set of critical points in a systematic way. Interestingly, we find the first examples of stable de Sitter solutions within a theory with such a large amount of supersymmetry.